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40455114112 = 277613072411
BaseRepresentation
bin100101101011010100…
…000000110110000000
310212102101102201200201
4211223110000312000
51130323002122422
630330153254544
72631341540050
oct455324006600
9125371381621
1040455114112
111617a948006
127a10404454
133a7944cc5a
141d5abdb560
1510bb935727
hex96b500d80

40455114112 has 128 divisors (see below), whose sum is σ = 93961486080. Its totient is φ = 16991078400.

The previous prime is 40455114109. The next prime is 40455114121. The reversal of 40455114112 is 21141155404.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16778187 + ... + 16780597.

It is an arithmetic number, because the mean of its divisors is an integer number (734074110).

Almost surely, 240455114112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40455114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46980743040).

40455114112 is an abundant number, since it is smaller than the sum of its proper divisors (53506371968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40455114112 is a wasteful number, since it uses less digits than its factorization.

40455114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

Adding to 40455114112 its reverse (21141155404), we get a palindrome (61596269516).

The spelling of 40455114112 in words is "forty billion, four hundred fifty-five million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 128 224 244 307 427 448 488 614 854 896 976 1228 1708 1952 2149 2411 2456 3416 3904 4298 4822 4912 6832 7808 8596 9644 9824 13664 16877 17192 18727 19288 19648 27328 33754 34384 37454 38576 39296 54656 67508 68768 74908 77152 131089 135016 137536 147071 149816 154304 262178 270032 275072 294142 299632 308608 524356 540064 588284 599264 740177 1029497 1048712 1080128 1176568 1198528 1480354 2058994 2097424 2160256 2353136 2397056 2960708 4117988 4194848 4706272 5181239 5921416 8235976 8389696 9412544 10362478 11842832 16471952 16779392 18825088 20724956 23685664 32943904 41449912 45150797 47371328 65887808 82899824 90301594 94742656 131775616 165799648 180603188 316055579 331599296 361206376 632111158 663198592 722412752 1264222316 1444825504 2528444632 2889651008 5056889264 5779302016 10113778528 20227557056 40455114112